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Finding the Fourth Proportional to 9,153.81, 13,730.99 and 7,177.59

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Solution

The fourth proportional to 9,153.81, 13,730.99 and 7,177.59 is: 10,766.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.81 : 13,730.99 = 7,177.59 : x
  2. Step 2: Convert to fraction form
    9,153.81/13,730.99 = 7,177.59/x
  3. Step 3: Cross multiply
    9,153.81x = 13,730.99 × 7,177.59
  4. Step 4: Simplify right side
    9,153.81x = 98,555,380.63
  5. Step 5: Solve for x
    x = 98,555,380.63/9,153.81
  6. Step 6: Final answer
    x = 10,766.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.